101201021001001 has 16 divisors (see below), whose sum is σ = 107555165972496. Its totient is φ = 94891539050496.

The previous prime is 101201021000983. The next prime is 101201021001089. The reversal of 101201021001001 is 100100120102101.

It can be written as a sum of positive squares in 8 ways, for example, as 9625977835776 + 91575043165225 = 3102576^2 + 9569485^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201021001001 - 2⁷ = 101201021000873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101201021001401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34066035 + ... + 36917431.

It is an arithmetic number, because the mean of its divisors is an integer number (6722197873281).

Almost surely, 2^{101201021001001} is an apocalyptic number.

It is an amenable number.

101201021001001 is a deficient number, since it is larger than the sum of its proper divisors (6354144971495).

101201021001001 is a wasteful number, since it uses less digits than its factorization.

101201021001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859228.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101201021001001 its reverse (100100120102101), we get a palindrome (201301141103102).

The spelling of 101201021001001 in words is "one hundred one trillion, two hundred one billion, twenty-one million, one thousand, one".